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Volume 9, Issue 1, Article 29 |
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Properties of Non Powerful Numbers
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Authors: |
Vlad Copil, Laurentiu Panaitopol, |
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Keywords:
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Powerful numbers, Sequences, Inequalities, Goldbach's conjecture. |
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Date Received:
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11/01/2008 |
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Date Accepted:
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10/03/2008 |
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Subject Codes: |
11B83, 11P32, 26D07.
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Editors: |
László Tóth, |
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Abstract: |
In this paper we study some properties of non powerful numbers. We evaluate the  -th non powerful number and prove for the sequence of non powerful numbers some theorems that are related to the sequence of primes: Landau, Mandl, Scherk. Related to the conjecture of Goldbach, we prove that every positive integer  is the sum between a prime and a non powerful number.
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